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Quite short with two nested for loops:
cat_count = 100cats = [False for i in range(cat_count)]for step in range(0, cat_count): for selected_cat_index in range(step, cat_count,step + 1 ): cats[selected_cat_index] = not cats[selected_cat_index] for i in range(cat_count): if cats[i]: print(f"Cat {i+1}: {cats[i]}")
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